Riesz transforms for Jacobi expansions
Journal article, 2008

We define Riesz transforms and conjugate Poisson integrals associated with multi-dimensional Jacobi expansions. Under a slight restriction on the type parameters, we prove that these operators are bounded in L p , 1 < p < ∞, with constants independent of the dimension. Our tools are suitably defined g-functions and Littlewood-Paley-Stein theory, involving the Jacobi-Poisson semigroup and modifications of it. © 2008 Springer Science+Business Media, Inc.


Adam Nowak

Wrocław University of Science and Technology

Peter Sjögren

University of Gothenburg

Chalmers, Mathematical Sciences, Mathematics

Journal dAnalyse Mathematique

0021-7670 (ISSN)

Vol. 104 1 341-369

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